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Finding the Third Proportional to 91,408 and 200,304

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Solution

The third proportional to 91,408 and 200,304 is: 438,929.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    91,408 : 200,304 = 200,304 : x
  2. Step 2: Convert to fraction form
    91,408/200,304 = 200,304/x
  3. Step 3: Cross multiply
    91,408x = 200,304 × 200,304
  4. Step 4: Simplify right side
    91,408x = 40,121,692,416
  5. Step 5: Solve for x
    x = 40,121,692,416/91,408
  6. Step 6: Final answer
    x = 438,929.77

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Why These Related Problems?

These problems maintain the same ratio (2.19) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.